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Lucas's Tests for Mersenne Numbers

The American Mathematical Monthly, 1945
(1945). Lucas's Tests for Mersenne Numbers. The American Mathematical Monthly: Vol. 52, No. 4, pp. 188-190.
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Some Properties between Mersenne, Jacobsthal and Jacobsthal-Lucas Hybrid Numbers

Chaos, Solitons and Fractals, 2021
Dursun Taşcı, Emre Sevgi
exaly  

Primitive Divisors of Lucas Numbers

1988
Let \( R = \{ {R_n}\} _{n = 1}^\infty \) be a Lucas sequence defined by fixed rational integers A and B and by the recursion relation $$ {R_n} = A \cdot {R_{n - 1}} + B \cdot {R_{n - 2}} $$ for n > 2, where the initial values are R1 = 1 and R2 = A. The terms of R are called Lucas numbers.
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Pronic Lucas Numbers

The Fibonacci Quarterly, 1998
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On the order-k generalized Lucas numbers

Applied Mathematics and Computation, 2004
Dursun Taşcı, Emrah Kılıç
exaly  

On the <i>k</i> -Lucas Numbers and Lucas Polynomials

Turkish Journal of Analysis and Number Theory, 2017
Ali Boussayoud, Mohamed Kerada
exaly  

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